Recent Advances in Optimal Transport for Machine Learning

Fuente: arXiv
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Main Authors: Montesuma, Eduardo Fernandes, Mboula, Fred Ngolè, Souloumiac, Antoine
Format: Preprint
Published: 2023
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author Montesuma, Eduardo Fernandes
Mboula, Fred Ngolè
Souloumiac, Antoine
author_facet Montesuma, Eduardo Fernandes
Mboula, Fred Ngolè
Souloumiac, Antoine
contents Recently, Optimal Transport has been proposed as a probabilistic framework in Machine Learning for comparing and manipulating probability distributions. This is rooted in its rich history and theory, and has offered new solutions to different problems in machine learning, such as generative modeling and transfer learning. In this survey we explore contributions of Optimal Transport for Machine Learning over the period 2012 -- 2023, focusing on four sub-fields of Machine Learning: supervised, unsupervised, transfer and reinforcement learning. We further highlight the recent development in computational Optimal Transport and its extensions, such as partial, unbalanced, Gromov and Neural Optimal Transport, and its interplay with Machine Learning practice.
format Preprint
id arxiv_https___arxiv_org_abs_2306_16156
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Recent Advances in Optimal Transport for Machine Learning
Montesuma, Eduardo Fernandes
Mboula, Fred Ngolè
Souloumiac, Antoine
Machine Learning
Probability
Recently, Optimal Transport has been proposed as a probabilistic framework in Machine Learning for comparing and manipulating probability distributions. This is rooted in its rich history and theory, and has offered new solutions to different problems in machine learning, such as generative modeling and transfer learning. In this survey we explore contributions of Optimal Transport for Machine Learning over the period 2012 -- 2023, focusing on four sub-fields of Machine Learning: supervised, unsupervised, transfer and reinforcement learning. We further highlight the recent development in computational Optimal Transport and its extensions, such as partial, unbalanced, Gromov and Neural Optimal Transport, and its interplay with Machine Learning practice.
title Recent Advances in Optimal Transport for Machine Learning
topic Machine Learning
Probability
url https://arxiv.org/abs/2306.16156